Instantaneous Velocity

Question 1

Find the indicated limit, if it exists. (7 points)

a. The limit does not exist

b. -1

c. -4

d. 7

Question 2

Find the indicated limit, if it exists. (7 points)

a. The limit does not exist

b. 9

c. -4

d. -13

Question 3

Use graphs and tables to find the limit and identify any vertical asymptotes of  . (7 points)

a. -∞; x = 7

b. ∞; x = -7

c. -∞; x = -7

d. 1 ; no vertical asymptotes

Question 4

The position of an object at time t is given by s(t) = -9 – 3t. Find the instantaneous velocity at t = 8 by finding the derivative.

limit of 1 divided by the quantity x minus 1 squared as x approaches 1

Question 5

Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (8 points)

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